Question

Find the slope, if it exists, of the line containing the pair of points.

(-15,-10) and (-20,- 12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- The slope is _____. (Type an integer or a simplified fraction.)
- The slope is undefined.

Answer 1

Answer: The slope is -2/5

Explanation:

Answer 2

`(\stackrel{x_1}{-15}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{-20}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-20}-\underset{x_1}{(-15)}}} \implies \cfrac{-12 +10}{-20 +15} \implies \cfrac{ -2 }{ -5 } \implies {\Large \begin{array}{llll} \cfrac{2 }{ 5 } \end{array}}`